25788032640 has 256 divisors, whose sum is σ = 91609056000. Its totient is φ = 6856003584.

The previous prime is 25788032551. The next prime is 25788032671. The reversal of 25788032640 is 4623088752.

25788032640 is a `hidden beast` number, since 2 + 578 + 8 + 0 + 32 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6201442 + ... + 6205598.

It is an arithmetic number, because the mean of its divisors is an integer number (357847875).

Almost surely, 2^25788032640 is an apocalyptic number.

25788032640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25788032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45804528000).

25788032640 is an abundant number, since it is smaller than the sum of its proper divisors (65821023360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25788032640 is a wasteful number, since it uses less digits than its factorization.

25788032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25788032640 in words is "twenty-five billion, seven hundred eighty-eight million, thirty-two thousand, six hundred forty".